Nondegenerate necessary conditions of optimality for problems without normality assumptions
Nondegenerate second-order necessary conditionsof optimality for general nonlinear optimization problems arepresented and discussed in this article. Besides functionalequality and inequality constraints, we also consider constraintsin the form of an inclusion into a given closed set. Withoutassuming...
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| Formato: | book |
| Idioma: | eng |
| Publicado em: |
2006
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| Texto completo: | https://repositorio-aberto.up.pt/handle/10216/71677 |
| País: | Portugal |
| Oai: | oai:repositorio-aberto.up.pt:10216/71677 |
| Resumo: | Nondegenerate second-order necessary conditionsof optimality for general nonlinear optimization problems arepresented and discussed in this article. Besides functionalequality and inequality constraints, we also consider constraintsin the form of an inclusion into a given closed set. Withoutassuming a priori normality, our conditions remain informativefor abnormal points, and, under very general assumptions alsotake into account the second order effect of the curvature ofthe set in the inclusion constraints. |
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